474516000 has 432 divisors, whose sum is σ = 1966287960. Its totient is φ = 108057600.

The previous prime is 474515963. The next prime is 474516017. The reversal of 474516000 is 615474.

474516000 is a `hidden beast` number, since 4 + 7 + 4 + 51 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 430479504 = 6636^2 + 20748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763866 + ... + 1764134.

Almost surely, 2^474516000 is an apocalyptic number.

474516000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983143980).

474516000 is an abundant number, since it is smaller than the sum of its proper divisors (1491771960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

474516000 is a wasteful number, since it uses less digits than its factorization.

474516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 474516000 is about 21783.3881662151. The cubic root of 474516000 is about 779.9802756353.

The spelling of 474516000 in words is "four hundred seventy-four million, five hundred sixteen thousand".